In this question, three statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusion(s) logically follows/follow from the statements.
Statements:
All rings are earrings.
Some rings are chains.
All chains are bangles.
Conclusions:
I. Some rings are bangles.
II. Some earrings are bangles.
III. Some chains are earrings.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. All conclusions I, II, and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some rings are bangles → True (As some rings are chains, and all chains are bangles, so, some rings are bangles is also true.)
II. Some earrings are bangles → True (As all rings are earrings, some rings are chains, and all chains are bangles, so, some earrings are bangles is also true.)
III. Some chains are earrings → True (As all rings are earrings, some rings are chains, and all chains are bangles, so, some chains are earrings is also true.)
Hence, All conclusions I, II, and III follow.